I got the axe minigame the first time I encountered the clown. With four axes, because I wasted my first one accidentally before moving on to the actual target area.

...and for some reason I never won it again after that, even with 5 axes.

I'm guessing, if you really want to do it, you could put a sheet up to the screen, throw regular axe spells and trace the trajectory and limits of the axe. Then you could use it on the targets to plan where to throw them.

About 20 years ago, I once put a bit of egg yolk on my screen so I would know which tile of the map a location would correspond to on another floor. It's silly but it worked.

I'm in a similar position of, the first time [two or three times, really] at the axe game, I got it, but since I wasn't closing the game properly, the achieve didn't register. And now I can't seem to get it again. >.<

For the Axe minigame, notice that you gotta jump over a block into the arena? Well just stand behind or ontop of it (while hugging the side away from the targets) just enough to reveal the targets. You can safely throw your axes without penalty or consuming your axe count. You can knock about 20 off the 100. That should make getting <10 left easier.

Way that I did the clown minigame was get a character with conflux, and before talking to him, cast it a couple of times, and when talking to him, make sure some of the orbs go into the room. They then take out most of the targets so you can hit the last few with axes

I just did. If you have The Charkran or Scythe is it easy. Just throw a few and then talk to the clow, your weapon will change for Axe but the ones you threw will be on the screen. Just move forward to see then destroying a few targets.

I start next to the bottom corner and throw an axe. Just and throw another. Repeat this for the other side and then stand under one of the clumps that remain and throw the last. You should get about 7/8 left and win. I haven't failed an axe game yet and done it about 4 times. I can't for the life of me win at the dagger one though.

For the Axe minigame, notice that you gotta jump over a block into the arena? Well just stand behind or ontop of it (while hugging the side away from the targets) just enough to reveal the targets. You can safely throw your axes without penalty or consuming your axe count. You can knock about 20 off the 100. That should make getting <10 left easier.

Way that I did the clown minigame was get a character with conflux, and before talking to him, cast it a couple of times, and when talking to him, make sure some of the orbs go into the room. They then take out most of the targets so you can hit the last few with axes

I just did. If you have The Charkran or Scythe is it easy. Just throw a few and then talk to the clow, your weapon will change for Axe but the ones you threw will be on the screen. Just move forward to see then destroying a few targets.